Triple

T8143994
Position Surface form Disambiguated ID Type / Status
Subject Book XIII of Euclid's Elements E190162 entity
Predicate isPrecededBy P97 FINISHED
Object Book XII of Euclid's Elements
Book XII of Euclid's Elements is a foundational mathematical text that develops the method of exhaustion to rigorously determine areas and volumes of curved figures such as circles, cones, and spheres.
E712323 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Book XII of Euclid's Elements | Statement: [Book XIII of Euclid's Elements, isPrecededBy, Book XII of Euclid's Elements]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Book XII of Euclid's Elements
Context triple: [Book XIII of Euclid's Elements, isPrecededBy, Book XII of Euclid's Elements]
  • A. Book XIII of Euclid's Elements
    Book XIII of Euclid's Elements is the concluding book of Euclid’s mathematical treatise, focusing on the construction and properties of the five regular Platonic solids within the framework of classical Greek geometry.
  • B. Euclid's Elements
    Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
  • C. Book X of the Elements
    Book X of the Elements is a section of Euclid’s mathematical treatise that systematically develops the theory of irrational magnitudes and incommensurability.
  • D. Book V of the Elements
    Book V of the Elements is the section of Euclid’s mathematical treatise that rigorously develops the general theory of proportion, foundational for real number and magnitude theory in geometry.
  • E. Euclides adauctus et methodicus
    Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Book XII of Euclid's Elements
Triple: [Book XIII of Euclid's Elements, isPrecededBy, Book XII of Euclid's Elements]
Generated description
Book XII of Euclid's Elements is a foundational mathematical text that develops the method of exhaustion to rigorously determine areas and volumes of curved figures such as circles, cones, and spheres.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Book XII of Euclid's Elements
Target entity description: Book XII of Euclid's Elements is a foundational mathematical text that develops the method of exhaustion to rigorously determine areas and volumes of curved figures such as circles, cones, and spheres.
  • A. Book XIII of Euclid's Elements
    Book XIII of Euclid's Elements is the concluding book of Euclid’s mathematical treatise, focusing on the construction and properties of the five regular Platonic solids within the framework of classical Greek geometry.
  • B. Euclid's Elements
    Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
  • C. Book X of the Elements
    Book X of the Elements is a section of Euclid’s mathematical treatise that systematically develops the theory of irrational magnitudes and incommensurability.
  • D. Book V of the Elements
    Book V of the Elements is the section of Euclid’s mathematical treatise that rigorously develops the general theory of proportion, foundational for real number and magnitude theory in geometry.
  • E. Euclides adauctus et methodicus
    Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69ca82bd9900819099477cdc2eb4244f completed March 30, 2026, 2:03 p.m.
NER Named-entity recognition batch_69cb4444bb248190beaaa2ce4b8f3eaa completed March 31, 2026, 3:49 a.m.
NED1 Entity disambiguation (via context triple) batch_69cc94a9ecd08190a029a8d76d9f3bb1 completed April 1, 2026, 3:44 a.m.
NEDg Description generation batch_69cc95c228c08190a603c1dff44ff299 completed April 1, 2026, 3:49 a.m.
NED2 Entity disambiguation (via description) batch_69cc96b02d38819085eb51c1943b3045 completed April 1, 2026, 3:53 a.m.
Created at: March 30, 2026, 5:36 p.m.